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Year 10
Higher
Circle theorems
Lessons (11)
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I can identify the parts of a circle, including finding the area and perimeter of a sector.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the angle at the centre of the circle is twice the angle at any point on the circumference.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the angle in a semicircle is a right angle.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the perpendicular from the centre of a circle to a chord bisects the chord.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the tangent at any point on a circle is perpendicular to the radius at that point.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the angles in the same segment are equal.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the alternate segment theorem.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the opposite angles of a cyclic quadrilateral sum to 180°.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can derive and use the theorem: the tangents from an external point are equal in length.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can analyse a circle problem and identify and use an appropriate circle theorem to solve it.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video
I can use my knowledge of circle theorems to solve problems.
1 Slide deck
1 Worksheet
2 Quizzes
1 Video